Atkin-Lehner |
3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075l |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8088075312890625 = 316 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1606751,-784040227] |
[a1,a2,a3,a4,a6] |
j |
29359525623751795681/517636820025 |
j-invariant |
L |
2.1455215668121 |
L(r)(E,1)/r! |
Ω |
0.13409509792463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108225j4 7215e3 |
Quadratic twists by: -3 5 |